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Finding the Third Proportional to 128,169,325 and 198,586,972.50

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Solution

The third proportional to 128,169,325 and 198,586,972.50 is: 307,692,855.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,169,325 : 198,586,972.50 = 198,586,972.50 : x
  2. Step 2: Convert to fraction form
    128,169,325/198,586,972.50 = 198,586,972.50/x
  3. Step 3: Cross multiply
    128,169,325x = 198,586,972.50 × 198,586,972.50
  4. Step 4: Simplify right side
    128,169,325x = 39,436,785,646,715,760
  5. Step 5: Solve for x
    x = 39,436,785,646,715,760/128,169,325
  6. Step 6: Final answer
    x = 307,692,855.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.